LabVIEW Multicore Analysis and Sparse Matrix Toolkit API Reference

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Matrix Norm VI

Matrix Norm VI

Owning Palette: Linear Algebra VIs

Requires: Multicore Analysis and Sparse Matrix Toolkit

Computes the norm of Input Matrix.

Wire data to the Input Matrix input to determine the polymorphic instance to use or manually select the instance.

Details  

Matrix Norm (DBL)

Input Matrix specifies a square or rectangular matrix. If Input Matrix is empty, this VI sets norm to NaN.
norm type specifies the type of matrix norm to compute. Let A represent the Input Matrix, ||A||p represents the norm of A, where p can be the different types of norms that this VI computes.

02-norm (default)—||A||2 is the largest singular value of the A.
11-norm—||A||1 is the largest absolute column sum of A.
2F-norm—||A||F is equal to where tr(ATA) is the trace of matrix ATA and AT is the transpose of A.
3Inf-norm—||A|| is the largest absolute row sum of A.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
norm returns the norm of Input Matrix.
error out contains error information. This output provides standard error out functionality.

Matrix Norm (SGL)

Input Matrix specifies a square or rectangular matrix. If Input Matrix is empty, this VI sets norm to NaN.
norm type specifies the type of matrix norm to compute. Let A represent the Input Matrix, ||A||p represents the norm of A, where p can be the different types of norms that this VI computes.

02-norm (default)—||A||2 is the largest singular value of the A.
11-norm—||A||1 is the largest absolute column sum of A.
2F-norm—||A||F is equal to where tr(ATA) is the trace of matrix ATA and AT is the transpose of A.
3Inf-norm—||A|| is the largest absolute row sum of A.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
norm returns the norm of Input Matrix.
error out contains error information. This output provides standard error out functionality.

Matrix Norm (CDB)

Input Matrix specifies a square or rectangular matrix. If Input Matrix is empty, this VI sets norm to NaN.
norm type specifies the type of matrix norm to compute. Let A represent the Input Matrix, the norm of A is represented by ||A||p, where p is the different types of norms that this VI computes.

02-norm (default)—||A||2 is the largest singular value of A.
11-norm—||A||1 is the largest absolute column of A.
2F-norm—||A||F is equal to where tr(AHA) is the trace of matrix AHA and AH is the conjugate transpose of A.
3inf-norm—||A|| is the largest absolute row sum of A.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
norm returns the norm of Input Matrix.
error out contains error information. This output provides standard error out functionality.

Matrix Norm (CSG)

Input Matrix specifies a square or rectangular matrix. If Input Matrix is empty, this VI sets norm to NaN.
norm type specifies the type of matrix norm to compute. Let A represent the Input Matrix, the norm of A is represented by ||A||p, where p is the different types of norms that this VI computes.

02-norm (default)—||A||2 is the largest singular value of A.
11-norm—||A||1 is the largest absolute column of A.
2F-norm—||A||F is equal to where tr(AHA) is the trace of matrix AHA and AH is the conjugate transpose of A.
3inf-norm—||A|| is the largest absolute row sum of A.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
norm returns the norm of Input Matrix.
error out contains error information. This output provides standard error out functionality.

Matrix Norm Details

The following table lists the support characteristics of this VI.

Supported on RT targets Yes
Suitable for bounded execution times on RT Yes
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